Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$
Rohit Kumar Mishra, Suman Kumar Sahoo
Abstract
We prove a new decomposition result for rank $m$ symmetric tensor fields which generalizes the well-known solenoidal and potential decomposition of tensor fields. This decomposition is then used to...
Topics & Concepts
MathematicsMathematical analysisRange (aeronautics)Tensor (intrinsic definition)Moment (physics)Pure mathematicsMathematical physicsClassical mechanicsPhysicsMaterials scienceComposite materialMathematical Analysis and Transform MethodsSeismic Imaging and Inversion TechniquesTensor decomposition and applications